130031023021344 has 576 divisors, whose sum is σ = 387115674761088. Its totient is φ = 41377222656000.

The previous prime is 130031023021321. The next prime is 130031023021373. The reversal of 130031023021344 is 443120320130031.

It is a happy number.

130031023021344 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 10 + 2 + 302 + 1 + 344 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23010264919 + ... + 23010270569.

It is an arithmetic number, because the mean of its divisors is an integer number (672075824238).

Almost surely, 2^{130031023021344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130031023021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193557837380544).

130031023021344 is an abundant number, since it is smaller than the sum of its proper divisors (257084651739744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130031023021344 is a wasteful number, since it uses less digits than its factorization.

130031023021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130031023021344 its reverse (443120320130031), we get a palindrome (573151343151375).

The spelling of 130031023021344 in words is "one hundred thirty trillion, thirty-one billion, twenty-three million, twenty-one thousand, three hundred forty-four".